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In this paper, a novel parallel hybrid iterative method is pro- posed for finding a common element of the set of solutions of a system of equilibrium problems, the set of solutions of variational inequalities for inverse strongly monotone mappings and the set of fixed points of a finite family of nonexpansive mappings in Hilbert space. Strong con- vergence theorem is proved for the sequence generated by the scheme. Finally, a parallel iterative algorithm for two finite families of variational inequalities and nonexpansive mappings is established.
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참고문헌 (19)
참고문헌 신청
A. De Cezaro / 2008 / On steepest-descent-Kaczmarz method for regularizing systems of nonlinear ill-posed equations / Appl. Math. Comput 202 (2) : 596 ~ 607
C. Zhang / 2011 / Strong convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces / Comput. Math. Appl 61 (2) : 262 ~ 276
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Program 63 (1-4) : 123 ~ 145
H. H. Bauschke / 1997 / The method of cyclic projections for closed convex sets in Hilbert space, Recent developments in optimization theory and nonlinear analysis (Jerusalem
H. Iiduka / 2004 / Strong convergence theorems for nonexpansive nonself-mappings and inverse-strongly-monotone mappings / J. Convex Anal 11 (1) : 69 ~ 79
C. Zhang / 2011 / Strong convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces / Comput. Math. Appl 61 (2) : 262 ~ 276
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Program 63 (1-4) : 123 ~ 145
H. H. Bauschke / 1997 / The method of cyclic projections for closed convex sets in Hilbert space, Recent developments in optimization theory and nonlinear analysis (Jerusalem
H. Iiduka / 2004 / Strong convergence theorems for nonexpansive nonself-mappings and inverse-strongly-monotone mappings / J. Convex Anal 11 (1) : 69 ~ 79
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